Theorems · Inductive type · category theory
CategoryTheory.EffectiveEpiStruct
{C : Type u_1} → [inst : CategoryTheory.Category.{v_1, u_1} C] → {X Y : C} → (Y ⟶ X) → Type (max u_1 v_1)This structure encodes the data required for a morphism to be an effective epimorphism.
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 2 from the axioms · uses no axioms
- Assumes
- CategoryTheory.Category
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement · cited by 32,673
- Quiver.Homstatement · cited by 32,603
Cited by27
Results whose statement or proof uses this declaration.
- CompHausLike.effectiveEpiStructstatement · cited by 5
- CategoryTheory.EffectiveEpiStruct.descstatement and proof · cited by 3
- CategoryTheory.isColimitOfEffectiveEpiStructstatement and proof · cited by 2
- CategoryTheory.EffectiveEpi.getStructstatement · cited by 2
- CategoryTheory.EffectiveEpiStruct.uniqstatement and proof · cited by 1
- TopCat.effectiveEpiStructOfQuotientMapstatement · cited by 1
- CategoryTheory.EffectiveEpiStruct.mk.injstatement · cited by 1
- CategoryTheory.EffectiveEpiStruct.mk.noConfusionstatement · cited by 1
- CategoryTheory.effectiveEpiStructOfIsColimitstatement · cited by 1
- CategoryTheory.effectiveEpiStructOfRegularEpistatement · cited by 1
- CategoryTheory.EffectiveEpi.casesOnstatement and proof · cited by 1
- CategoryTheory.EffectiveEpi.effectiveEpistatement · cited by 1